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Finding the Fourth Proportional to 106,675.34, 147,216.42 and 61,353.34

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Solution

The fourth proportional to 106,675.34, 147,216.42 and 61,353.34 is: 84,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,675.34 : 147,216.42 = 61,353.34 : x
  2. Step 2: Convert to fraction form
    106,675.34/147,216.42 = 61,353.34/x
  3. Step 3: Cross multiply
    106,675.34x = 147,216.42 × 61,353.34
  4. Step 4: Simplify right side
    106,675.34x = 9,032,218,701.80
  5. Step 5: Solve for x
    x = 9,032,218,701.80/106,675.34
  6. Step 6: Final answer
    x = 84,670.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.